# The weight of 10,000 identical samples of a substance is 100 pounds. What is the weight of 10 samples?

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#### Explanation:

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Feb 21, 2018

See a solution process below:

#### Explanation:

We can write and solve the ratio as:

$\frac{x}{10 \text{samples") = (100"lbs")/(10000"samples}}$

$\textcolor{red}{10 \text{samples") xx x/(10"samples") = color(red)(10"samples") xx (100"lbs")/(10000"samples}}$

cancel(color(red)(10"samples")) xx x/color(red)(cancel(color(black)(10"samples"))) = color(red)(10color(black)(cancel(color(red)("samples")))) xx (100"lbs")/(10000color(red)(cancel(color(black)("samples"))))

$x = \textcolor{red}{10} \times \frac{100 \text{lbs}}{10000}$

$x = \frac{1000 \text{lbs}}{10000}$

$x = \frac{1 \textcolor{red}{\cancel{\textcolor{b l a c k}{000}}} \text{lbs}}{10 \textcolor{red}{\cancel{\textcolor{b l a c k}{000}}}}$

$x = \frac{1}{10} \text{lbs}$

Or

$x = 0.1 \text{lbs}$

The 10 samples should weigh $\frac{1}{10}$ or $0.1$ pounds.

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